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Finding the Third Proportional to 27,175.50 and 49,146.75

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Solution

The third proportional to 27,175.50 and 49,146.75 is: 88,881.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,175.50 : 49,146.75 = 49,146.75 : x
  2. Step 2: Convert to fraction form
    27,175.50/49,146.75 = 49,146.75/x
  3. Step 3: Cross multiply
    27,175.50x = 49,146.75 × 49,146.75
  4. Step 4: Simplify right side
    27,175.50x = 2,415,403,035.56
  5. Step 5: Solve for x
    x = 2,415,403,035.56/27,175.50
  6. Step 6: Final answer
    x = 88,881.64

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.